(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 10.3' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     23290,        878]
NotebookOptionsPosition[     19122,        742]
NotebookOutlinePosition[     21209,        798]
CellTagsIndexPosition[     21124,        793]
WindowTitle->FermionicChain
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[GridBox[{
   {Cell["FEYN CALC SYMBOL", "PacletNameCell"], Cell[TextData[Cell[BoxData[
     ActionMenuBox[
      FrameBox[
       InterpretationBox[Cell[TextData[{
         "URL",
         StyleBox[" \[FilledDownTriangle]", "AnchorBarArrow",
          StripOnInput->False]
        }]],
        TextCell[
         Row[{"URL", 
           Style[" \[FilledDownTriangle]", "AnchorBarArrow"]}]]],
       StripOnInput->False], {"\<\"FeynCalc/ref/FermionicChain\"\>":>
      None, "\<\"Copy Wolfram Documentation Center URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell["FeynCalc/ref/FermionicChain"]}, Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; Null], 
      Delimiter, "\<\"Copy web URL\"\>":>
      Module[{DocumentationSearch`Private`nb$}, 
       DocumentationSearch`Private`nb$ = NotebookPut[
          Notebook[{
            Cell[
             BoxData[
              MakeBoxes[
               Hyperlink[
               "http://reference.wolfram.com/language/FeynCalc/ref/\
FermionicChain.html"], StandardForm]], "Input", TextClipboardType -> 
             "PlainText"]}, Visible -> False]]; 
       SelectionMove[DocumentationSearch`Private`nb$, All, Notebook]; 
       FrontEndTokenExecute[DocumentationSearch`Private`nb$, "Copy"]; 
       NotebookClose[DocumentationSearch`Private`nb$]; 
       Null], "\<\"Go to web URL\"\>":>FrontEndExecute[{
        NotebookLocate[{
          URL[
           StringJoin[
            If[
             TrueQ[DocumentationBuild`Make`Private`wsmlinkQ$131438], 
             "http://reference.wolfram.com/system-modeler/", 
             "http://reference.wolfram.com/language/"], 
            "FeynCalc/ref/FermionicChain", ".html"]], None}]}]},
      Appearance->None,
      MenuAppearance->Automatic,
      MenuStyle->"URLMenu"]],
     LineSpacing->{1.4, 0}]], "AnchorBar"]}
  }]], "AnchorBarGrid",
 GridBoxOptions->{GridBoxItemSize->{"Columns" -> {
     Scaled[0.65], {
      Scaled[0.34]}}, "ColumnsIndexed" -> {}, "Rows" -> {{1.}}, 
   "RowsIndexed" -> {}}},
 CellID->1],

Cell[TextData[{
 Cell["FermionicChain", "ObjectName"],
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{8, 0}],
    CacheGraphics->False],
   Spacer[8]]]],
 Cell[BoxData[""], "ObjectNameTranslation"]
}], "ObjectNameGrid"],

Cell[BoxData[GridBox[{
   {"", Cell[TextData[{
     Cell[BoxData[
      RowBox[{"FermionicChain", "[", 
       RowBox[{"x", ",", "i", ",", "j"}], "]"}]], "InlineFormula"],
     " \[LineSeparator]denotes a chain of Dirac matrices x, where the Dirac \
indices i and j are explicit."
    }]]}
  }]], "Usage",
 GridBoxOptions->{
 GridBoxBackground->{
  "Columns" -> {{None}}, "ColumnsIndexed" -> {}, "Rows" -> {{None}}, 
   "RowsIndexed" -> {}}},
 CellID->982511436],

Cell[CellGroupData[{

Cell[TextData[{
 Cell[BoxData[
  InterpretationBox[
   StyleBox[
    GraphicsBox[{},
     BaselinePosition->Baseline,
     ImageSize->{6, 0}],
    CacheGraphics->False],
   Spacer[6]]]],
 "Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "PrimaryExamplesSection",
 WholeCellGroupOpener->True,
 CellTags->"PrimaryExamplesSection",
 CellID->389030547],

Cell[CellGroupData[{

Cell[TextData[{
 "Basic Examples",
 "\[NonBreakingSpace]\[NonBreakingSpace]",
 Cell["(1)", "ExampleCount"]
}], "ExampleSection", "ExampleSection",
 WholeCellGroupOpener->True,
 CellID->1360160300],

Cell["A standalone Dirac matrix", "Notes",
 CellID->1067943069],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{"DiracGamma", "[", 
    RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], "]"}], ",", 
   RowBox[{"DiracIndex", "[", "i", "]"}], ",", 
   RowBox[{"DiracIndex", "[", "j", "]"}]}], "]"}]], "Input",
 CellLabel->"In[1]:=",
 CellID->1948609293],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     SuperscriptBox[
      OverscriptBox["\[Gamma]", "_"], 
      FormBox[
       FormBox["\[Mu]",
        TraditionalForm],
       TraditionalForm]],
     TraditionalForm], ")"}], 
   RowBox[{
    FormBox[
     FormBox["i",
      TraditionalForm],
     TraditionalForm], 
    FormBox[
     FormBox["j",
      TraditionalForm],
     TraditionalForm]}]], TraditionalForm]], "Output",
 ImageSize->{57, 19},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[1]=",
 CellID->540820865]
}, Open  ]],

Cell["A chain of Dirac matrices with open indices", "Notes",
 CellID->976984379],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"DiracGamma", "[", 
     RowBox[{
      RowBox[{"LorentzIndex", "[", 
       RowBox[{"\[Mu]", ",", "D"}], "]"}], ",", "D"}], "]"}], ".", 
    RowBox[{"DiracGamma", "[", 
     RowBox[{
      RowBox[{"LorentzIndex", "[", 
       RowBox[{"\[Nu]", ",", "D"}], "]"}], ",", "D"}], "]"}]}], ",", 
   RowBox[{"DiracIndex", "[", "i", "]"}], ",", 
   RowBox[{"DiracIndex", "[", "j", "]"}]}], "]"}]], "Input",
 CellLabel->"In[2]:=",
 CellID->699845331],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     RowBox[{
      SuperscriptBox["\[Gamma]", 
       FormBox[
        FormBox["\[Mu]",
         TraditionalForm],
        TraditionalForm]], ".", 
      SuperscriptBox["\[Gamma]", 
       FormBox[
        FormBox["\[Nu]",
         TraditionalForm],
        TraditionalForm]]}],
     TraditionalForm], ")"}], 
   RowBox[{
    FormBox[
     FormBox["i",
      TraditionalForm],
     TraditionalForm], 
    FormBox[
     FormBox["j",
      TraditionalForm],
     TraditionalForm]}]], TraditionalForm]], "Output",
 ImageSize->{78, 19},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[2]=",
 CellID->1042361559]
}, Open  ]],

Cell["\<\
A FermionicChain with only two arguments denotes a spinor component\
\>", "Notes",
 CellID->1440903900],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}], ",", 
   RowBox[{"DiracIndex", "[", "i", "]"}]}], "]"}]], "Input",
 CellLabel->"In[3]:=",
 CellID->1523270401],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     RowBox[{
      FormBox["\<\"\[CurlyPhi]\"\>",
       TraditionalForm], 
      FormBox["\<\"(\"\>",
       TraditionalForm], 
      FormBox[
       OverscriptBox[
        FormBox["p",
         TraditionalForm], "_"],
       TraditionalForm], 
      FormBox["\<\",\"\>",
       TraditionalForm], 
      FormBox["m",
       TraditionalForm], 
      FormBox["\<\")\"\>",
       TraditionalForm]}],
     TraditionalForm], ")"}], 
   FormBox[
    FormBox["i",
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{94, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[3]=",
 CellID->1692835604]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", 
      RowBox[{"-", "p"}], "]"}], ",", "m"}], "]"}], ",", 
   RowBox[{"DiracIndex", "[", "i", "]"}]}], "]"}]], "Input",
 CellLabel->"In[4]:=",
 CellID->2053038750],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     RowBox[{
      FormBox["\<\"\[CurlyPhi]\"\>",
       TraditionalForm], 
      FormBox["\<\"(\"\>",
       TraditionalForm], 
      FormBox[
       RowBox[{"-", 
        OverscriptBox[
         FormBox["p",
          TraditionalForm], "_"]}],
       TraditionalForm], 
      FormBox["\<\",\"\>",
       TraditionalForm], 
      FormBox["m",
       TraditionalForm], 
      FormBox["\<\")\"\>",
       TraditionalForm]}],
     TraditionalForm], ")"}], 
   FormBox[
    FormBox["i",
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{105, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[4]=",
 CellID->1158219305]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{"DiracIndex", "[", "i", "]"}], ",", 
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p", "]"}], ",", "m"}], "]"}]}], "]"}]], "Input",\

 CellLabel->"In[5]:=",
 CellID->10435576],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     RowBox[{
      FormBox["\<\"\[CurlyPhi]\"\>",
       TraditionalForm], 
      FormBox["\<\"(\"\>",
       TraditionalForm], 
      FormBox[
       OverscriptBox[
        FormBox["p",
         TraditionalForm], "_"],
       TraditionalForm], 
      FormBox["\<\",\"\>",
       TraditionalForm], 
      FormBox["m",
       TraditionalForm], 
      FormBox["\<\")\"\>",
       TraditionalForm]}],
     TraditionalForm], ")"}], 
   FormBox[
    FormBox["i",
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{94, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[5]=",
 CellID->1027004853]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{"DiracIndex", "[", "i", "]"}], ",", 
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", 
      RowBox[{"-", "p"}], "]"}], ",", "m"}], "]"}]}], "]"}]], "Input",
 CellLabel->"In[6]:=",
 CellID->213074326],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     RowBox[{
      FormBox["\<\"\[CurlyPhi]\"\>",
       TraditionalForm], 
      FormBox["\<\"(\"\>",
       TraditionalForm], 
      FormBox[
       RowBox[{"-", 
        OverscriptBox[
         FormBox["p",
          TraditionalForm], "_"]}],
       TraditionalForm], 
      FormBox["\<\",\"\>",
       TraditionalForm], 
      FormBox["m",
       TraditionalForm], 
      FormBox["\<\")\"\>",
       TraditionalForm]}],
     TraditionalForm], ")"}], 
   FormBox[
    FormBox["i",
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{105, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[6]=",
 CellID->317258919]
}, Open  ]],

Cell["The chain may also be partially open or closed", "Notes",
 CellID->853429857],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"DiracGamma", "[", 
     RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], "]"}], ".", 
    RowBox[{"(", 
     RowBox[{"m", "+", 
      RowBox[{"DiracGamma", "[", 
       RowBox[{"Momentum", "[", "p", "]"}], "]"}]}], ")"}], ".", 
    RowBox[{"DiracGamma", "[", 
     RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], "]"}]}], ",", 
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p", "]"}], ",", "m", ",", "1"}], "]"}], ",", 
   RowBox[{"DiracIndex", "[", "j", "]"}]}], "]"}]], "Input",
 CellLabel->"In[7]:=",
 CellID->943655043],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     RowBox[{
      FormBox["\<\"\[CurlyPhi]\"\>",
       TraditionalForm], 
      FormBox["\<\"(\"\>",
       TraditionalForm], 
      FormBox[
       OverscriptBox[
        FormBox["p",
         TraditionalForm], "_"],
       TraditionalForm], 
      FormBox["\<\",\"\>",
       TraditionalForm], 
      FormBox["m",
       TraditionalForm], 
      FormBox["\<\")\"\>",
       TraditionalForm]}],
     TraditionalForm], ".", 
    FormBox[
     RowBox[{
      SuperscriptBox[
       OverscriptBox["\[Gamma]", "_"], 
       FormBox[
        FormBox["\[Mu]",
         TraditionalForm],
        TraditionalForm]], ".", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{
         OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", 
         FormBox[
          OverscriptBox[
           FormBox["p",
            TraditionalForm], "_"],
          TraditionalForm]}], "+", "m"}], ")"}], ".", 
      SuperscriptBox[
       OverscriptBox["\[Gamma]", "_"], 
       FormBox[
        FormBox["\[Nu]",
         TraditionalForm],
        TraditionalForm]]}],
     TraditionalForm], ")"}], 
   FormBox[
    FormBox["j",
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{221, 19},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[7]=",
 CellID->308665713]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"DiracGamma", "[", 
     RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], "]"}], ".", 
    RowBox[{"(", 
     RowBox[{"m", "+", 
      RowBox[{"DiracGamma", "[", 
       RowBox[{"Momentum", "[", "p", "]"}], "]"}]}], ")"}], ".", 
    RowBox[{"DiracGamma", "[", 
     RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], "]"}]}], ",", 
   RowBox[{"DiracIndex", "[", "i", "]"}], ",", 
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p", "]"}], ",", "m", ",", "1"}], "]"}]}], 
  "]"}]], "Input",
 CellLabel->"In[8]:=",
 CellID->1504197659],

Cell[BoxData[
 FormBox[
  SubscriptBox[
   RowBox[{"(", 
    FormBox[
     RowBox[{
      SuperscriptBox[
       OverscriptBox["\[Gamma]", "_"], 
       FormBox[
        FormBox["\[Mu]",
         TraditionalForm],
        TraditionalForm]], ".", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{
         OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", 
         FormBox[
          OverscriptBox[
           FormBox["p",
            TraditionalForm], "_"],
          TraditionalForm]}], "+", "m"}], ")"}], ".", 
      SuperscriptBox[
       OverscriptBox["\[Gamma]", "_"], 
       FormBox[
        FormBox["\[Nu]",
         TraditionalForm],
        TraditionalForm]]}],
     TraditionalForm], ".", 
    FormBox[
     RowBox[{
      FormBox["\<\"\[CurlyPhi]\"\>",
       TraditionalForm], 
      FormBox["\<\"(\"\>",
       TraditionalForm], 
      FormBox[
       OverscriptBox[
        FormBox["p",
         TraditionalForm], "_"],
       TraditionalForm], 
      FormBox["\<\",\"\>",
       TraditionalForm], 
      FormBox["m",
       TraditionalForm], 
      FormBox["\<\")\"\>",
       TraditionalForm]}],
     TraditionalForm], ")"}], 
   FormBox[
    FormBox["i",
     TraditionalForm],
    TraditionalForm]], TraditionalForm]], "Output",
 ImageSize->{220, 17},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[8]=",
 CellID->1622089204]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{
   RowBox[{
    RowBox[{"DiracGamma", "[", 
     RowBox[{"LorentzIndex", "[", "\[Mu]", "]"}], "]"}], ".", 
    RowBox[{"(", 
     RowBox[{"m", "+", 
      RowBox[{"DiracGamma", "[", 
       RowBox[{"Momentum", "[", "p", "]"}], "]"}]}], ")"}], ".", 
    RowBox[{"DiracGamma", "[", 
     RowBox[{"LorentzIndex", "[", "\[Nu]", "]"}], "]"}]}], ",", 
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p1", "]"}], ",", "m1", ",", "1"}], "]"}], ",", 
   
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p2", "]"}], ",", "m2", ",", "1"}], "]"}]}], 
  "]"}]], "Input",
 CellLabel->"In[9]:=",
 CellID->765104786],

Cell[BoxData[
 FormBox[
  RowBox[{"(", 
   FormBox[
    RowBox[{
     FormBox["\<\"\[CurlyPhi]\"\>",
      TraditionalForm], 
     FormBox["\<\"(\"\>",
      TraditionalForm], 
     FormBox[
      OverscriptBox[
       FormBox["p1",
        TraditionalForm], "_"],
      TraditionalForm], 
     FormBox["\<\",\"\>",
      TraditionalForm], 
     FormBox["m1",
      TraditionalForm], 
     FormBox["\<\")\"\>",
      TraditionalForm]}],
    TraditionalForm], ".", 
   FormBox[
    RowBox[{
     SuperscriptBox[
      OverscriptBox["\[Gamma]", "_"], 
      FormBox[
       FormBox["\[Mu]",
        TraditionalForm],
       TraditionalForm]], ".", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{
        OverscriptBox["\[Gamma]", "_"], "\[CenterDot]", 
        FormBox[
         OverscriptBox[
          FormBox["p",
           TraditionalForm], "_"],
         TraditionalForm]}], "+", "m"}], ")"}], ".", 
     SuperscriptBox[
      OverscriptBox["\[Gamma]", "_"], 
      FormBox[
       FormBox["\[Nu]",
        TraditionalForm],
       TraditionalForm]]}],
    TraditionalForm], ".", 
   FormBox[
    RowBox[{
     FormBox["\<\"\[CurlyPhi]\"\>",
      TraditionalForm], 
     FormBox["\<\"(\"\>",
      TraditionalForm], 
     FormBox[
      OverscriptBox[
       FormBox["p2",
        TraditionalForm], "_"],
      TraditionalForm], 
     FormBox["\<\",\"\>",
      TraditionalForm], 
     FormBox["m2",
      TraditionalForm], 
     FormBox["\<\")\"\>",
      TraditionalForm]}],
    TraditionalForm], ")"}], TraditionalForm]], "Output",
 ImageSize->{297, 20},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[9]=",
 CellID->1205748360]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"FermionicChain", "[", 
  RowBox[{"1", ",", 
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p1", "]"}], ",", "m1", ",", "1"}], "]"}], ",", 
   
   RowBox[{"Spinor", "[", 
    RowBox[{
     RowBox[{"Momentum", "[", "p2", "]"}], ",", "m2", ",", "1"}], "]"}]}], 
  "]"}]], "Input",
 CellLabel->"In[10]:=",
 CellID->322314800],

Cell[BoxData[
 FormBox[
  RowBox[{"(", 
   FormBox[
    RowBox[{
     FormBox["\<\"\[CurlyPhi]\"\>",
      TraditionalForm], 
     FormBox["\<\"(\"\>",
      TraditionalForm], 
     FormBox[
      OverscriptBox[
       FormBox["p1",
        TraditionalForm], "_"],
      TraditionalForm], 
     FormBox["\<\",\"\>",
      TraditionalForm], 
     FormBox["m1",
      TraditionalForm], 
     FormBox["\<\")\"\>",
      TraditionalForm]}],
    TraditionalForm], ".", 
   FormBox[
    RowBox[{
     FormBox["\<\"\[CurlyPhi]\"\>",
      TraditionalForm], 
     FormBox["\<\"(\"\>",
      TraditionalForm], 
     FormBox[
      OverscriptBox[
       FormBox["p2",
        TraditionalForm], "_"],
      TraditionalForm], 
     FormBox["\<\",\"\>",
      TraditionalForm], 
     FormBox["m2",
      TraditionalForm], 
     FormBox["\<\")\"\>",
      TraditionalForm]}],
    TraditionalForm], ")"}], TraditionalForm]], "Output",
 ImageSize->{171, 20},
 ImageMargins->{{0, 0}, {0, 0}},
 ImageRegion->{{0, 1}, {0, 1}},
 CellLabel->"Out[10]=",
 CellID->215830603]
}, Open  ]]
}, Open  ]]
}, Open  ]],

Cell[" ", "FooterCell"]
},
Saveable->False,
ScreenStyleEnvironment->"Working",
WindowSize->{725, 750},
WindowMargins->{{-10, Automatic}, {Automatic, -8}},
WindowTitle->"FermionicChain",
TaggingRules->{
 "ModificationHighlight" -> False, "ColorType" -> "SymbolColor", "LinkTrails" -> 
  GridBox[{{
      RowBox[{
        ButtonBox[
        "FeynCalc", ButtonData -> "paclet:FeynCalc/guide/FeynCalc", 
         BaseStyle -> {"Link", "DockedLinkTrail"}]}]}}, ColumnAlignments -> 
    Left], "HasOptions" -> False, "ExampleCounter" -> 1, "NeedPlatMsgIn" -> 
  None, "RootCaptions" -> "", 
  "Metadata" -> {
   "built" -> "{2019, 3, 29, 17, 49, 18.853316}", 
    "history" -> {"9.3", "", "", ""}, "context" -> "FeynCalc`", 
    "keywords" -> {}, "specialkeywords" -> {}, 
    "tutorialcollectionlinks" -> {}, "index" -> True, "label" -> 
    "Feyn Calc Symbol", "language" -> "en", "paclet" -> "FeynCalc", "status" -> 
    "None", "summary" -> 
    "FermionicChain[x, i, j] denotes a chain of Dirac matrices x, where the \
Dirac indices i and j are explicit.", "synonyms" -> {}, "tabletags" -> {}, 
    "title" -> "FermionicChain", "titlemodifier" -> "", "windowtitle" -> 
    "FermionicChain", "type" -> "Symbol", "uri" -> 
    "FeynCalc/ref/FermionicChain"}, "SearchTextTranslated" -> ""},
CellContext->"Global`",
FrontEndVersion->"10.3 for Linux x86 (64-bit) (December 10, 2015)",
StyleDefinitions->Notebook[{
   Cell[
    StyleData[
    StyleDefinitions -> FrontEnd`FileName[{"Wolfram"}, "Reference.nb"]]], 
   Cell[
    StyleData["Input"], CellContext -> "Global`"], 
   Cell[
    StyleData["Output"], CellContext -> "Global`"]}, Visible -> False, 
  FrontEndVersion -> "10.3 for Linux x86 (64-bit) (December 10, 2015)", 
  StyleDefinitions -> "Default.nb"]
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{
 "PrimaryExamplesSection"->{
  Cell[3668, 106, 387, 15, 31, "PrimaryExamplesSection",
   CellTags->"PrimaryExamplesSection",
   CellID->389030547]}
 }
*)
(*CellTagsIndex
CellTagsIndex->{
 {"PrimaryExamplesSection", 20981, 786}
 }
*)
(*NotebookFileOutline
Notebook[{
Cell[586, 21, 2298, 53, 50, "AnchorBarGrid",
 CellID->1],
Cell[2887, 76, 291, 11, 44, "ObjectNameGrid"],
Cell[3181, 89, 462, 13, 83, "Usage",
 CellID->982511436],
Cell[CellGroupData[{
Cell[3668, 106, 387, 15, 31, "PrimaryExamplesSection",
 CellTags->"PrimaryExamplesSection",
 CellID->389030547],
Cell[CellGroupData[{
Cell[4080, 125, 196, 6, 25, "ExampleSection",
 CellID->1360160300],
Cell[4279, 133, 63, 1, 31, "Notes",
 CellID->1067943069],
Cell[CellGroupData[{
Cell[4367, 138, 303, 8, 45, "Input",
 CellID->1948609293],
Cell[4673, 148, 582, 25, 40, "Output",
 CellID->540820865]
}, Open  ]],
Cell[5270, 176, 80, 1, 31, "Notes",
 CellID->976984379],
Cell[CellGroupData[{
Cell[5375, 181, 523, 15, 62, "Input",
 CellID->699845331],
Cell[5901, 198, 712, 30, 40, "Output",
 CellID->1042361559]
}, Open  ]],
Cell[6628, 231, 113, 3, 31, "Notes",
 CellID->1440903900],
Cell[CellGroupData[{
Cell[6766, 238, 269, 8, 27, "Input",
 CellID->1523270401],
Cell[7038, 248, 734, 30, 38, "Output",
 CellID->1692835604]
}, Open  ]],
Cell[CellGroupData[{
Cell[7809, 283, 291, 9, 27, "Input",
 CellID->2053038750],
Cell[8103, 294, 761, 31, 38, "Output",
 CellID->1158219305]
}, Open  ]],
Cell[CellGroupData[{
Cell[8901, 330, 269, 9, 27, "Input",
 CellID->10435576],
Cell[9173, 341, 734, 30, 38, "Output",
 CellID->1027004853]
}, Open  ]],
Cell[CellGroupData[{
Cell[9944, 376, 290, 9, 27, "Input",
 CellID->213074326],
Cell[10237, 387, 760, 31, 38, "Output",
 CellID->317258919]
}, Open  ]],
Cell[11012, 421, 83, 1, 31, "Notes",
 CellID->853429857],
Cell[CellGroupData[{
Cell[11120, 426, 624, 17, 62, "Input",
 CellID->943655043],
Cell[11747, 445, 1381, 54, 40, "Output",
 CellID->308665713]
}, Open  ]],
Cell[CellGroupData[{
Cell[13165, 504, 628, 18, 62, "Input",
 CellID->1504197659],
Cell[13796, 524, 1382, 54, 38, "Output",
 CellID->1622089204]
}, Open  ]],
Cell[CellGroupData[{
Cell[15215, 583, 704, 21, 62, "Input",
 CellID->765104786],
Cell[15922, 606, 1674, 67, 41, "Output",
 CellID->1205748360]
}, Open  ]],
Cell[CellGroupData[{
Cell[17633, 678, 369, 12, 45, "Input",
 CellID->322314800],
Cell[18005, 692, 1051, 43, 41, "Output",
 CellID->215830603]
}, Open  ]]
}, Open  ]]
}, Open  ]],
Cell[19095, 740, 23, 0, 40, "FooterCell"]
}
]
*)

(* End of internal cache information *)

